Corollary 8.5.1.17. Let $X$ and $Y$ be Kan complexes and let $\kappa $ be an uncountable cardinal. Suppose that $Y$ is a retract of $X$ in the $\infty $-category $\operatorname{\mathcal{S}}$. If $X$ is essentially $\kappa $-small, then $Y$ is essentially $\kappa $-small.
$\Newextarrow{\xhookrightarrow}{10,10}{0x21AA}$